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Importance sampling has been known as a powerful tool to reduce the variance of Monte Carlo estimator for rare event simulation. Based on the criterion of minimizing the variance of Monte Carlo estimator within a parametric family, we…

Methodology · Statistics 2013-02-11 Cheng-Der Fuh , Huei-Wen Teng , Ren-Her Wang

The goal of this paper is to accelerate the training of machine learning models, a critical challenge since the training of large-scale deep neural models can be computationally expensive. Stochastic gradient descent (SGD) and its variants…

Machine Learning · Computer Science 2025-09-22 Yuen Chen , Yian Wang , Hari Sundaram

Monte Carlo methods are widely used importance sampling techniques for studying complex physical systems. Integrating these methods with deep learning has significantly improved efficiency and accuracy in high-dimensional problems and…

Disordered Systems and Neural Networks · Physics 2024-12-24 Yixiong Ren , Jianhui Zhou

In this paper we study simulation-based methods for estimating gradients in stochastic networks. We derive a new method of calculating weak derivative estimator using importance sampling transform, and our method has less computational cost…

Methodology · Statistics 2023-03-28 Cheng Jie , Michael C Fu

Training neural networks is traditionally done by providing a sequence of random mini-batches sampled uniformly from the entire training data. In this work, we analyze the effect of curriculum learning, which involves the non-uniform…

Machine Learning · Computer Science 2020-12-03 Guy Hacohen , Daphna Weinshall

Training deep neural networks (DNNs) used in modern machine learning is computationally expensive. Machine learning scientists, therefore, rely on stochastic first-order methods for training, coupled with significant hand-tuning, to obtain…

Machine Learning · Computer Science 2023-07-24 Eric Silk , Swarnita Chakraborty , Nairanjana Dasgupta , Anand D. Sarwate , Andrew Lumsdaine , Tony Chiang

Stochastic Gradient Descent (SGD) is a popular optimization method which has been applied to many important machine learning tasks such as Support Vector Machines and Deep Neural Networks. In order to parallelize SGD, minibatch training is…

Machine Learning · Statistics 2014-05-14 Peilin Zhao , Tong Zhang

Supervised training of deep neural nets typically relies on minimizing cross-entropy. However, in many domains, we are interested in performing well on metrics specific to the application. In this paper we propose a direct loss minimization…

Machine Learning · Computer Science 2016-06-03 Yang Song , Alexander G. Schwing , Richard S. Zemel , Raquel Urtasun

Neural operators (NOs) employ deep neural networks to learn mappings between infinite-dimensional function spaces. Deep operator network (DeepONet), a popular NO architecture, has demonstrated success in the real-time prediction of complex…

Machine Learning · Computer Science 2025-06-03 Sharmila Karumuri , Lori Graham-Brady , Somdatta Goswami

Deep Learning (DL) systems have proliferated in many applications, requiring specialized hardware accelerators and chips. In the nano-era, devices have become increasingly more susceptible to permanent and transient faults. Therefore, we…

Machine Learning · Computer Science 2023-05-26 Alessio Colucci , Andreas Steininger , Muhammad Shafique

Efficient sampling from un-normalized target distributions is pivotal in scientific computing and machine learning. While neural samplers have demonstrated potential with a special emphasis on sampling efficiency, existing neural implicit…

Machine Learning · Computer Science 2024-11-05 Weijian Luo , Wei Deng

The most common method for DNN pruning is hard thresholding of network weights, followed by retraining to recover any lost accuracy. Recently developed smart pruning algorithms use the DNN response over the training set for a variety of…

Machine Learning · Computer Science 2019-05-23 Konstantinos Pitas , Mike Davies , Pierre Vandergheynst

To deploy and operate deep neural models in production, the quality of their predictions, which might be contaminated benignly or manipulated maliciously by input distributional deviations, must be monitored and assessed. Specifically, we…

Computer Vision and Pattern Recognition · Computer Science 2023-06-09 Guy Bar-Shalom , Yonatan Geifman , Ran El-Yaniv

While the success of deep neural networks (DNNs) is well-established across a variety of domains, our ability to explain and interpret these methods is limited. Unlike previously proposed local methods which try to explain particular…

Machine Learning · Statistics 2020-04-29 Jonathan Ish-Horowicz , Dana Udwin , Seth Flaxman , Sarah Filippi , Lorin Crawford

Network representation learning, as an approach to learn low dimensional representations of vertices, has attracted considerable research attention recently. It has been proven extremely useful in many machine learning tasks over large…

Machine Learning · Computer Science 2019-06-11 Hao Peng , Jianxin Li , Hao Yan , Qiran Gong , Senzhang Wang , Lin Liu , Lihong Wang , Xiang Ren

Adaptive sampling algorithms are modern and efficient methods that dynamically adjust the sample size throughout the optimization process. However, they may encounter difficulties in risk-averse settings, particularly due to the challenge…

Optimization and Control · Mathematics 2025-02-17 Sandra Pieraccini , Tommaso Vanzan

Sequential importance sampling algorithms have been defined to estimate likelihoods in models of ancestral population processes. However, these algorithms are based on features of the models with constant population size, and become…

Statistics Theory · Mathematics 2016-03-24 Coralie Merle , Raphaël Leblois , François Rousset , Pierre Pudlo

The sampling importance resampling method is widely utilized in various fields, such as numerical integration and statistical simulation. In this paper, two modified methods are presented by incorporating two variance reduction techniques…

Computation · Statistics 2024-08-28 Yao Xiao , Kang Fu , Kun Li

Recent advancements have scaled neural networks to unprecedented sizes, achieving remarkable performance across a wide range of tasks. However, deploying these large-scale models on resource-constrained devices poses significant challenges…

Machine Learning · Computer Science 2024-10-22 Mostafa Hussien , Mahmoud Afifi , Kim Khoa Nguyen , Mohamed Cheriet

Deep neural networks (DNNs) for supervised learning can be viewed as a pipeline of the feature extractor (i.e., last hidden layer) and a linear classifier (i.e., output layer) that are trained jointly with stochastic gradient descent (SGD)…

Machine Learning · Computer Science 2022-11-28 Xin Li , Xiangrui Li , Deng Pan , Yao Qiang , Dongxiao Zhu
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